Derivative of x^13
Answer
13*x^12
Derivative of x^13
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
The derivative of x^13 is 13*x^12.
Instant step-by-step solution for x^13
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Derivative of x^13 = 13*x^12 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-13
How to find the derivative of x^13
To find the derivative of x^13, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of x^13?▼
The derivative of x^13 is 13*x^12.
How do you find the derivative of x^13?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 13*x^12.
Why is the derivative of x^13 equal to 13*x^12?▼
Because differentiation measures how a function changes — applying the rules to x^13 yields 13*x^12. See the full step-by-step breakdown above.